Find out projection matrix for oblique projection, Computer Graphics

Assignment Help:

Find Out Projection Matrix for Oblique Projection

To find out projection matrix for oblique projection, we want to find out the direction vector d. Because vector PP' and vector d both contain the same direction. Hence, PP'=d 

 So, x'- 0=d1= f.cosθ

       y'- 0=d2= f.sinθ

       z'-1=d3

 Since z'=0 on the xy-plane, d3 = -1, 

Because, Oblique projection is a particular case of parallel projection, hence, we can transform the common transformation of parallel projection for Oblique projection as given:

792_Find Out Projection Matrix for Oblique Projection.png

Here, f=foreshortening factor, that is the projected length of the z-axis unit vector. When β is the angle among the Oblique projectors and the plane of projection so,

1/f=tan (β) , that is f= cot(β)

θ=angle among the projected line along with the positive x-axis.


Related Discussions:- Find out projection matrix for oblique projection

Parallel projection - viewing transformation, Parallel Projection - viewing...

Parallel Projection - viewing transformation Parallel projection methods are utilized by engineers to make working drawings of an object that preserves its true shape. In t

Reflection, What is the advantages and disadvantages of reflection ?

What is the advantages and disadvantages of reflection ?

Distinguish between convex and concave polygons, Distinguish between convex...

Distinguish between convex and concave polygons? If the line joining any two points in the polygon lies totally inside the polygon then, they are called as convex polygons. If

Types of light resources - illumination model, Types of Light Resources - i...

Types of Light Resources - illumination Model Let us discuss about the types of light resources. The light sources can not merely be natural like light from Sun or Moon or Sta

Time based and presentation tools, Time Based and Presentation Tools In...

Time Based and Presentation Tools In such authoring systems, components and events are organized beside a timeline, along with resolutions as high as 1/30 second. Time based to

Define advanced graphics port, Q. Define Advanced Graphics Port? AGP si...

Q. Define Advanced Graphics Port? AGP signify Advanced (or Accelerated) Graphics Port. It's a connector standard defining a high speed bus connection between the microprocessor

Exceptional cases - orthographic projection, Exceptional cases - Orthograph...

Exceptional cases - Orthographic Projection 1)   We have an Orthographic projection, if f=0, then cot (β) =0 that is β=90 0 . 2)   β =cot-1 (1)=450 and this Oblique projec

Sutherland hodgman algorithm, Sutherland-Hodgman Algorithm Any polygon...

Sutherland-Hodgman Algorithm Any polygon of any type of arbitrary shape can be explained with the assist of some set of vertices connected with it. While we try to clip the po

Education and training, explain in detail the application of computer graph...

explain in detail the application of computer graphics in education and training?

Digital audio comprises audio signals, Digital audio comprises audio signal...

Digital audio comprises audio signals stored in a digital format. Particularly, the term encompasses the subsequent: 1)   Audio conversion: 1.   Analogue to digital conversi

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd